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Finding the Fourth Proportional to 234,126.64, 322,991.72 and 137,281.32

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Solution

The fourth proportional to 234,126.64, 322,991.72 and 137,281.32 is: 189,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,126.64 : 322,991.72 = 137,281.32 : x
  2. Step 2: Convert to fraction form
    234,126.64/322,991.72 = 137,281.32/x
  3. Step 3: Cross multiply
    234,126.64x = 322,991.72 × 137,281.32
  4. Step 4: Simplify right side
    234,126.64x = 44,340,728,984.26
  5. Step 5: Solve for x
    x = 44,340,728,984.26/234,126.64
  6. Step 6: Final answer
    x = 189,387.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.